/_1 and /_2 are vertical angles. If m/_1=(8x-28)^(@) and m/_2=(4x+4)^(@), then find the measure of /_2. Answer:

Set Equal Expressions: Vertical angles are congruent, which means they have equal measures. Therefore, we can set the expressions for m/angle 1 and m/angle 2 equal to each other to find the value of x. Equation: (8x - 28) = (4x + 4)Subtract x Terms: Now, we will solve for x by first subtracting 4x from both sides of the equation to get the x terms on one side. (8x - 28) - 4x = (4x + 4) - 4x 4x - 28 = 4Add 28: Next, we will add 28 to both sides of the equation to isolate the x term. 4x - 28 + 28 = 4 + 28 4x = 32Divide by 4: Now, we will divide both sides of the equation by 4 to solve for x. 4x / 4 = 32 / 4 x = 8Substitute x Value: With the value of x found, we can now substitute it back into the expression for m/angle 2 to find its measure. m/angle 2 = (4x + 4) m/angle 2 = (4 * 8) + 4 m/angle 2 = 32 + 4 m/angle 2 = 36 degrees

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/_1 and
/_2 are vertical angles. If
m/_1=(8x-28)^(@) and
m/_2=(4x+4)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are vertical angles. If $\mathrm{m} \angle 1=(8 x-28)^{\circ}$ and $\mathrm{m} \angle 2=(4 x+4)^{\circ}$ , then find the measure of $\angle 2$ . $\newline$ Answer:

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Math Problems

Algebra 2

Transformations of functions

Full solution

\angle 1

and

\angle 2

are vertical angles. If

\mathrm{m} \angle 1=(8 x-28)^{\circ}

and

\mathrm{m} \angle 2=(4 x+4)^{\circ}

, then find the measure of

\angle 2

\newline

Answer:

Set Equal Expressions: Vertical angles are congruent, which means they have equal measures. Therefore, we can set the expressions for $m/\text{angle } 1$ and $m/\text{angle } 2$ equal to each other to find the value of $x$ . $\newline$ Equation: $(8x - 28) = (4x + 4)$
Subtract x Terms: Now, we will solve for $x$ by first subtracting $4x$ from both sides of the equation to get the $x$ terms on one side. $(8x - 28) - 4x = (4x + 4) - 4x$ $4x - 28 = 4$
Add $28$ : Next, we will add $28$ to both sides of the equation to isolate the $x$ term. $\newline$ $4x - 28 + 28 = 4 + 28$ $\newline$ $4x = 32$
Divide by $4$ : Now, we will divide both sides of the equation by $4$ to solve for $x$ . $\frac{4x}{4} = \frac{32}{4}$ $x = 8$
Substitute x Value: With the value of $x$ found, we can now substitute it back into the expression for $m/\text{angle } 2$ to find its measure. $\newline$ $m/\text{angle } 2 = (4x + 4)$ $\newline$ $m/\text{angle } 2 = (4 \times 8) + 4$ $\newline$ $m/\text{angle } 2 = 32 + 4$ $\newline$ $m/\text{angle } 2 = 36$ degrees